GCF of 250/58, 100/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 250/58, 100/152 i.e 50/4408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/58, 100/152.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 250/58,100/152?
Given fractions are 250/58,100/152
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 250/58,100/152, numerators are 250,100
Denominators are 58,152
The GCF of 250,100 is 50 .
LCM of 58,152 is 4408.
The greatest common factor of 250/58,100/152 = [GCF of 250,100]/[LCM of 58,152]= 50/4408
Therefore, the GCF of 250/58,100/152 is 50/4408.
To find the highest common factor of 250,100, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The HCF of 250,100 is 50.
Lets's calculate GCF of 250,100
| 2 | 250, 100 |
| 5 | 125, 50 |
| 5 | 25, 10 |
| 5, 2 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 250,100 By Matching Biggest Common Factor Method
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 250,100 . The biggest common factor number is the GCF number.
So the greatest common factor 250,100 is 50.
Lets's calculate LCM of 58,152
| 2 | 58, 152 |
| 29, 76 |
∴ So the LCM of the given numbers is 2 x 29 x 76 = 4408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/4408
Therefore, the GCF of Fractions 250/58,100/152 is 50/4408
Least Common Multiple of 58,152 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 58,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,152) x common factors =2 x 1 = 2
LCM(58,152) = ( 58 × 152 ) / 2
LCM(58,152) = 8816 / 2
LCM(58,152) = 4408
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FAQs on GCF of Fractions of 250/58, 100/152
1. What is the HCF of 250,100?
The HCF of 250,100 is 50
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 250/58, 100/152?
Answer: GCF of Numerators as per given numbers 250/58, 100/152 is
GCF of Numerators i.e. for 250,100 is 50
LCM of denominators i.e. for 58,152 is 4408.
Thus, GCF of Fractions is 50/4408.Finally, GCF of Fractions for 250/58, 100/152 is 50/4408.